This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A318731 #4 Sep 02 2018 17:09:02
%S A318731 1,0,1,2,5,7,17,27,54,93,185,324,629,1143,2175,4050,7709,14469,27593,
%T A318731 52276,99839,190371,364721,698508,1342170,2580165,4970952,9585232,
%U A318731 18512789,35787985,69273665,134211600,260300799,505278705,981706783
%N A318731 Number of relatively prime Lyndon compositions (aperiodic necklaces of positive integers) with sum n.
%F A318731 Moebius transform of A059966. Second Moebius transform of A008965.
%e A318731 The a(6) = 7 relatively prime Lyndon compositions are 15, 114, 132, 123, 1113, 1122, 11112.
%e A318731 The a(7) = 17 relatively prime Lyndon compositions:
%e A318731 16, 25, 34,
%e A318731 115, 142, 124, 133, 223,
%e A318731 1114, 1213, 1132, 1123, 1222,
%e A318731 11113, 11212, 11122,
%e A318731 111112.
%t A318731 LyndonQ[q_]:=Array[OrderedQ[{q,RotateRight[q,#]}]&,Length[q]-1,1,And]&&Array[RotateRight[q,#]&,Length[q],1,UnsameQ];
%t A318731 Table[Length[Select[Join@@Permutations/@IntegerPartitions[n],LyndonQ[#]&&GCD@@#==1&]],{n,10}]
%Y A318731 Cf. A000740, A000837, A008965, A059966, A100953, A296302.
%K A318731 nonn
%O A318731 1,4
%A A318731 _Gus Wiseman_, Sep 02 2018